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MILANG Journal of Mathematics and Its Applications
Published by Institut Pertanian Bogor
ISSN : -     EISSN : 29635233     DOI : https://doi.org/10.29244/milang.18.1
Core Subject : Education,
Mathematics
MILANG Journal of Mathematics and Its Applications publishes original research articles in the broad field of mathematics and its interdisciplinary applications. The journal covers, but is not limited to, the following areas: Mathematics in Informatics, Mathematics in Life Sciences, Mathematics in Actuarial Science, Mathematics in Natural Sciences, and Mathematics in Graph Theory. MILANG is open to high-quality submissions presenting innovative mathematical theories, methods, and applications that advance scientific understanding or solve real-world problems. The journal welcomes interdisciplinary research and contributions that bridge mathematics with other scientific domains.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 6 Documents
 1 
Search results for , issue "Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications" : 6 Documents clear
Estimation of the local intensity of a cyclic Poisson process by means of nearest neighbor distances MANGKU, I W.
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.1.1.1-12

Abstract

We consider the problem of estimating the local intensity of a cyclic Poisson point process, when we know the period. We suppose that only a single realization of the cyclic Poisson point process is observed within a bounded 'window', and our aim is to estimate consistently the local intensity at a given point. A nearest neighbor estimator of the local intensity is proposed, and we show that our estimator is weakly and strongly consistent, as the window expands.
The effects of dynamics and information structures on the solution of conflicts in the global economic and trading system PRIYARSONO, D. S.
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.1.1.13-23

Abstract

This article exemplifies the application of mathematical (game theoretic) modeling to describe economic phenomenon, i.e., conflicts within the global trading system. The main proposition of this article is that broadening time horizon and promoting information exchange between the parties in conflicts will result in cooperative solution.
Stationary Probability Distributions of a Markov Chain SETIAWATY, B.
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.1.1.25-33

Abstract

This article shows that stationary probability distributions of a Markov chain can be classified into two classes. These classes are determined by the type of communicating classes of the chain.
Nonexistence Proofs for Five Ternary Linear Codes GURITMAN, S.
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.1.1.35-40

Abstract

An [n,k, dh-code is a ternary linear code with length n, dimension k and minimum distance d. We prove that codes with parameters [110,6, 72h, [109,6,71h, [237,6,157b, [69,7,43h, and [120,9,75h do not exist.
Penetapan Tarif Optimal dengan Model Permainan Stackelberg LESMANA, D. C.; PRIYARSONO, D. S.; HANUM, F.
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.1.1.41-48

Abstract

Tarif dapat digunakan untuk mencegah industri asing melakukan praktik- praktik untuk menarik keuntungan atas industri domestik yang menyebabkan penurunan pendapatan nasional. Jika pasar suatu negara adalah oligopolistik maka ada dua akibat tarnbahan dari penurunan tarif yang cenderung mengu- rangi kesejahteraan negara. Pertarna, jika produsen asing mempunyai keku- atan pasar, maka negara pengimpor mernbayar dengan harga yan.g lebih tinggi daripada biaya marjinal. Derrgan mernberlakukan tarif, negara dapat rnerrgam- bil sebagian surplus monopolis. Kedua, proteksi monopolis domestik meng- hasilkan keuntungan. Sebagian keuntungan ini akan mengalir ke perusahaan asing setelah penurunan tarif. Hal ini mengakibatkan penurunan kesejahte- raan negara.
Analisis Kestabilan Titik Tetap dan Bifurkasi Kelompok Inti pada Model Transmisi Penyakit Seksual RAHMAWATI, T.; AIDI, M. N.; HANUM, F.
MILANG Journal of Mathematics and Its Applications Vol. 1 No. 1 (2002): Journal of Mathematics and Its Applications
Publisher : School of Data Science, Mathematics and Informatics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/jmap.1.1.49-64

Abstract

Transmisi penyakit seksual pada suatu populasi berkaitan erat dengan kegiatan seksuaJ individu-individu pada populasi tersebut. Dalarn pemba- hasan model transrnisi penyakit seksual ini, populasi dibagi rnenjadi dua kelorn- pok, yaitu kelompok dengan tingkat aktivitas seksual tinggi yang dinamakan kelorrrpok inti, dan kelornpok dengan tingkat aktivitas seksual rendah, yang dinamakan dengan kelompok non-inti. Berdasarkan tingkat aktivitasseksual- nya, pada umumnya kelompok non inti tidak terlalu berpengar uh pada trans- misi penyakit seksual ini. Jadi, model umum transmisi penyakit seksual amat dipengaruhi oleh model kelompok inti yang dibahas dalam tulisan ini. Ana- lisis kestabilan dilakukan untuk model tersebut dan diperoleh tiga titik tetap beserta kondisi kestabilan yang harus dipenuhi. Individu terinfeksi dapat menularkan penyakit pada individu rentan atau tervaksinasi, dan dapat berpengaruh pada kestabilan transmisi penyakit sek- sual pada kelompok inti ini. Strategi pencegahan (vaksinasi) juga diberikan pada kelompok inti. Perubahan nilai tingkat vaksinasi dapat mempengaruhi kestabilan sistem. Sistem akan kehilangan kestabilan apabila diberikan tingkat vaksinasi yang lebih kecil daripada tingkat kritis vaksinasi.

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